\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.10.1 - Bounding Volumes
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Min_quadrilateral_2/minimum_enclosing_parallelogram_2.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polygon_2.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/random_convex_set_2.h>
#include <CGAL/min_quadrilateral_2.h>
#include <iostream>
typedef Kernel::Point_2 Point_2;
typedef Kernel::Line_2 Line_2;
typedef CGAL::Polygon_2<Kernel> Polygon_2;
typedef CGAL::Random_points_in_square_2<Point_2> Generator;
int main()
{
// build a random convex 20-gon p
Polygon_2 p;
CGAL::random_convex_set_2(20, std::back_inserter(p), Generator(1.0));
std::cout << p << std::endl;
// compute the minimal enclosing parallelogram p_m of p
Polygon_2 p_m;
p.vertices_begin(), p.vertices_end(), std::back_inserter(p_m));
std::cout << p_m << std::endl;
return 0;
}